369450720 has 240 divisors, whose sum is σ = 1350185760. Its totient is φ = 95026176.

The previous prime is 369450707. The next prime is 369450721. The reversal of 369450720 is 27054963.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369450721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375349 + ... + 376331.

It is an arithmetic number, because the mean of its divisors is an integer number (5625774).

Almost surely, 2^369450720 is an apocalyptic number.

369450720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675092880).

369450720 is an abundant number, since it is smaller than the sum of its proper divisors (980735040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

369450720 is a wasteful number, since it uses less digits than its factorization.

369450720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 369450720 is about 19221.1009049950. The cubic root of 369450720 is about 717.5500060248.

The spelling of 369450720 in words is "three hundred sixty-nine million, four hundred fifty thousand, seven hundred twenty".